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Finding the Third Proportional to 234,252 and 515,152

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Solution

The third proportional to 234,252 and 515,152 is: 1,132,889.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,252 : 515,152 = 515,152 : x
  2. Step 2: Convert to fraction form
    234,252/515,152 = 515,152/x
  3. Step 3: Cross multiply
    234,252x = 515,152 × 515,152
  4. Step 4: Simplify right side
    234,252x = 265,381,583,104
  5. Step 5: Solve for x
    x = 265,381,583,104/234,252
  6. Step 6: Final answer
    x = 1,132,889.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.